I would like to have a few tabs in a cases environment so that the "for"s and the "u"s in my example (and in the best case the "j"s as well) are on one line, respectively. I tried different environments for equations but I haven't found a solution. The quad-distances don't satisfy me...
\begin{align*}
\phi_{C}(u)=
\begin{cases}
(j-1)\cdot \lambda & \text{for } d_{j-1}\leq u \leq d_{j}-\lambda \qquad j=1,\ldots ,r\\
j\cdot \lambda +u-d_{j} & \text{for } d_{j}-\lambda\leq u\leq d_{j} \qquad \qquad j=1,\ldots ,r-1 \qquad \text{with } r\geq 2 \\
r\cdot \lambda +u-d_{r} & \text{for } d_{r}-\lambda\leq u
\end{cases}
\end{align*}


